How many solutions are there to the equation Xl + X2 + X3

Chapter 5, Problem 5.5.15

(choose chapter or problem)

How many solutions are there to the equation Xl + X2 + X3 + X4 + X5 = 21, where Xi , i = 1 , 2, 3, 4, 5, is a nonnegative integer such that a) Xl ::: I? b) Xi ::: 2 for i = 1 , 2, 3, 4, 5? c) 0 ::: Xl ::: IO? d) 0 ::: Xl ::: 3, I ::: X2 < 4, and X3 ::: IS?

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